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Finding the Third Proportional to 98,478 and 214,773.75

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Solution

The third proportional to 98,478 and 214,773.75 is: 468,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478 : 214,773.75 = 214,773.75 : x
  2. Step 2: Convert to fraction form
    98,478/214,773.75 = 214,773.75/x
  3. Step 3: Cross multiply
    98,478x = 214,773.75 × 214,773.75
  4. Step 4: Simplify right side
    98,478x = 46,127,763,689.06
  5. Step 5: Solve for x
    x = 46,127,763,689.06/98,478
  6. Step 6: Final answer
    x = 468,406.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.